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Finding the Fourth Proportional to 10,585.60, 15,871.20 and 4,010.80

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Solution

The fourth proportional to 10,585.60, 15,871.20 and 4,010.80 is: 6,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.60 : 15,871.20 = 4,010.80 : x
  2. Step 2: Convert to fraction form
    10,585.60/15,871.20 = 4,010.80/x
  3. Step 3: Cross multiply
    10,585.60x = 15,871.20 × 4,010.80
  4. Step 4: Simplify right side
    10,585.60x = 63,656,208.96
  5. Step 5: Solve for x
    x = 63,656,208.96/10,585.60
  6. Step 6: Final answer
    x = 6,013.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.